Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey

zbMath1146.42005MaRDI QIDQ871218

Domingo Pestana, José M. Rodríguez, Elena Romera, Venancio Alvarez

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129267

zbMATH Keywords

Sobolev orthogonal polynomialsgeneralized weighted Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Related Items (8)

Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures ⋮ Weighted Sobolev spaces: Markov-type inequalities and duality ⋮ Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms ⋮ Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms ⋮ Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials ⋮ The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

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